Study of many Brownian particles dynamics

• Grant number: 06/04356-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: January 01, 2007
• End date: May 31, 2010
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Amir Ordacgi Caldeira
• Grantee: Oscar Salomón Duarte Muñoz
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The objective of this work is to extend the study of the Brownian motion to the case of many Brownian particles. It will be used functional Integration methods and Green functions, common in many body theory, to develop a theory of coupled fields to describe a system of interest made of many indistinguishable non-relativistic particles (fermions or bosons) immerse in a dissipative environment acting as thermal reservoir. The properties of the induced interaction between the sub-systems of interest will depend on the spectral function of excitations of the bath. The resulting non-linear theory will be used to study the phenomenon of transport in the system. We pretend to establish the criteria to propose semi-phenomenologic models describing the physical properties observed in several many-body systems.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MUÑOZ, Oscar Salomón Duarte. Study of the dynamics of quantum brownian particles. 2011. Doctoral Thesis - Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin Campinas, SP.